The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.
What is the numerical value of the given expression?Given the expression in the question;
( jk − 1 ) ÷ jj = -4k = -0.9To determine the numerical value of the expression, plug in the values of j and k and then simplify.
( jk − 1 ) ÷ j
Plug in j = -4 and k = -0.9
( jk − 1 ) ÷ j
( (-4 × -0.9) − 1 ) ÷ (-4)
Simplify
( 3.6 − 1 ) ÷ (-4)
( 2.6 ) ÷ (-4)
-0.65
Therefore, the value of the expression is -0.65.
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Find the angle of DE
The Answers is 90
Step-by-step explanation: Imagion taking 4 DE and make a square out of it. All sides of a square is 90 degress so De is 90 degress
Which rule describes rotating 90° counterclockwise?
(x,y)→(-y,x)
(x,y)→(y, -x)
(x,y)→(x,y)
(x,y)-(-x,-y)
Need Help With Explaining and ASAP please! And check if I’m correct!
Answer:
yhj
Step-by-step explanation:
all in the text bag with you high bag GM DJ tee SB hy DJ DJ TV DJ DJ DJ DJ CB jus DJ tty 464+7557+56(6)=7
what is the difference between shallow foundations and deep foundations? where would you recommend the use of deep foundations? explain.
Deep foundations are recommended for larger or hillside developments , or those on poor soil .
Foundation Systems in Building
There are two classifications of foundations in building shallow foundations and deep foundations . These categories refer to the depth of soil in which the foundation is formed .
Shallow Foundations : Shallow foundations are usually located less than six feet below the lowest finished floor of a structure.
Deep Foundations : Deep foundations are structural elements that are used to transfer loads from weak and compressible soils to a stronger layer, usually located at a significant depth below the ground.
Recommendation
A shallow foundation can be constructed in as little as a one-foot depth , whereas a deep foundation is formed at a depth of 10 - 300 feet . Deep foundations are recommended for larger or hillside developments , or those on poor soil .
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Answer:
Step-by-step explanation: A shallow foundation distributes loads from the building into the upper layers of the ground.
Shallow foundations perform very well on sites with strong soils, sufficiently thick natural gravel rafts overlying weaker soils or where robust, engineered ground improvement is carried out.
Deep foundations can provide a good foundation for houses on sites with poor soil conditions near the surface,
can someone make a systems of equations word problem using (2, -2)? i included the equation
The word problem including the given equation is mentioned below.
Given, a system of equations
x + y = 0
2x - y = 6
We have to make a word problem using the given system of equations.
Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.
Find the marks of both the students.
Hence, the word problem including the given equation is mentioned above.
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Shaq is climbing on the side of a mountain. From a spot on the
4
1/2 of
mountain, he climbs up of a kilometer. He then climbs down
5
a kilometer. How many kilometers is Shaq from his original starting
point?
In linear equation, 22.5 kilometer is Shaq from his original starting point.
What is linear equation?
The algebraic equation y=mx+b is known as a linear equation. m being the slope and b being the y-intercept, and just a constant and a first-order (linear) term are used. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.Shaq is he climbs up on the side of a mountain = 4 1/2 = 9/2
then he climbs down = 5 kilometer
Shaq from his original starting point = 9/2 * 5
= 45/2 = 22.5 kilometer
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A box of volume 216 m3 with a square bottom and no top is made of two different materials. the cost of the bottom is $40/m2 and the cost of the sides is $30/m2. find the dimensions of the box that minimize the total cost. (use symbolic notation and fractions where needed. write the objective function with respect to the length of the square bottom.)
The dimensions of the box that minimize total cost are height h =3.17m, width, w and length, l=9.52m are equal to .
How to find the height of the box ?Let h is the height of the box.
Given Volume of the box is 216 m³ with no top.
And the cost of the bottom is 40USD/m².
For the sides, it is 30USD/m².
The bottom of the box is square, so l = w.
So Volume
[tex]V=hl^{2}[/tex]
[tex]216=hl^{2}[/tex]
[tex]h=\frac{216}{l^{2} }[/tex]
Now Surface Area of the box without a top is
S = 4hl + l²
So,
cost = 4 × 30hl +40l²
cost = 120 hl + 40 l²
Putting h ,
cost = 120 × [tex](\frac{216}{l^{2} })l + 40l^{2}[/tex]
cost = [tex]\frac{25960}{l^{2} }+40l^{2}[/tex]
To find minimum cost, derivate the by using the calculator at
[tex]l=3\sqrt[3]{4}[/tex]
l=4.762203 m
[tex]h=\frac{216}{4.762203^{2} }[/tex]
h = 9.5244069354 m
Hence the dimensions of the box are
l=w
=9.52 m
and height ,h=3.17 m
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What is the area of the shaded portion of the parallelogram? Dimensions are in centimeters.
The area of the shaded portion of the parallelogram is 35.43 centimeter square
The base of the parallelogram = 8 centimeter
The height of the parallelogram = 6 centimeter
The area of the parallelogram = Base × Height
= 8 × 6
= 48 centimeter square
The radius of the circle = 2 centimeter
The area of the circle = π × [tex]r^2[/tex]
= π × [tex]2^2[/tex]
= 12.57 centimeter square
The area of the shaded region = The area of the parallelogram - The area of the circle
Substitute the values in the equation
= 48 - 12.57
= 35.43 centimeter square
Hence, the area of the shaded portion of the parallelogram is 35.43 centimeter square
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Solve the equation: 4 - 2y + 3 = - 9. What is y equal to?
Answer:
b
Step-by-step explanation:
In the given equation 4 - 2y + 3 = - 9, y is equal to 8.
The equation is a statement in which the values of two mathematical expressions are equal (indicated by the sign =).
To find the value of y from the given equation
∴ 4 - 2y + 3 = - 9
=> 4+3 -2y = -9
=> 7 - 2y = -9
=> 7 + 9 = 2y
=> 16 = 2y
=> 16/2 = y
=> 8 = y
=> y = 8
So, the value of y in the above equation 4 - 2y + 3 = -9 is 8.
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Part of the graph of a quadratic function is graphed below. Between which two integers will the graph again cross the x-axis?
From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis in x=7.
Quadratic Function
The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .
The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).
From the given figure, it is possible to see that:
the graph crosses the x-axis in x= -1 the graph crosses the y-axis in y=2. xv=3 and yv=7For x= -1, you have y=0, then:
ax²+bx+c=0 -> x=-1
a (-1)²-b+c=0
a*1-b+c=0
a-b+c=0 (1)
For y= 2, you have x=0, then:
ax²+bx+c=0
a*0²+b*0+c=2
0+0+c=2
c=2 (2)
As, a-b+c=0 (1) and c=2 (2), you have:
a-b+c=0
a-b+2=0
a-b=-2 (3)
Now, you should use the information about the xv.
[tex]x_v=\frac{-b}{2a} =3[/tex]
-b=6a
b=-6a
From equation 3, you will find the coefficient a .
a-b=-2 (3)
a-(-6a)= -2
a +6a =-2
7a= -2
a=-2/7
If a= -2/7, from equation 3 you can find the coefficient b.
b=-6a = -6* (-2/7)=12/7
Thus, the quadratic equation of the plot is: ax²+bx+c
[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]
Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].
[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]
[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]
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A football team averaged a loss of 8 yards in each of 4 plays. If they did not gain any yards, what was the net yardage the team had after those 4 plays?
What is the answer?
The net yardage the team had after those 4 plays is -32.
How to calculate the value?From the information, the football team averaged a loss of 8 yards in each of 4 plays.
In a situation where they did not gain any yards, the net yardage the team had after those 4 plays will be:
= Yards loss × Number of matches
= -8 × 4
= -32
This illustrates the concept of multiplication that was used to calculate the net yardage.
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a mixture of 3% disinfectant solution is to be made from 5% and 2% disinfectant solutions. how much of each solution should be used if 21 gallons of 3% solution are needed?
To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.
21 gallons of the 3% solution is required.
Therefore, the amount of disinfectant in the solution
= 3/100 X 21 gallons
= 0.63 gallons
Let the amount of 5% disinfectant solution used be x
Therefore,
the amount of 2% disinfectant solution used is (21 - x)
Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.
Hence,
5/100 X x + 2/100 X (21 - x) = 0.63
or, 5x/100 + (42 - 2x) / 100 = 0.63
or, 0.05x + 0.42 - 0.02x = 0.63
or, 0.03x = 0.63 - 0.42
or, 0.03x = 0.21
or, x = 0.21 / 0.03
or, x = 7
Therefore 21 - x = 14
Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.
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Write inequalities to represent the situations below.
Ann exercises no less than 40 minutes per day.
Use t to represent Ann's amount of exercise (in minutes per day).
The inequalities to represent the Ann situation is t > 40.
How to model a situation with inequalities?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
Therefore, an expression with an inequalities have the signs <, >, ≤ and ≥.
Let's represent the situation with an inequalities.
Therefore, Ann exercises no less than 40 minutes per day.
let
t = Ann's amount of exercise (in minutes per day).
The inequalities to represent the situation is as follows:
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help meeeeeeeeeeeeeee pleaseee
Answer:
Vertex: (2, -1)
Axis of Symmetry: x=2
Parabola: Downwards
Step-by-step explanation:
can someone please doordash me something like i will give brainly 5 stars and spotify premium just 10 dollars please
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Find the total surface area of the cone in the figure. (Use π = 3. 14. )
Question 12 options:
A)
266. 9 cm2
B)
219. 8 cm2
C)
314. 0 cm2
D)
282. 6 cm2
The correct option A, 266. 9 cm²; total surface area of the cone given in figure is found as 266.9 sq cm.
Define the term surface area of cone?A cone's surface area is the total area that its surface takes up in a 3D plane. That curved surface area plus its circular base area will add up to the object's total surface area.A cone's surface area is calculated as the sum of its curved surface area and base area, or πr² + πrL, where r is the radius of the cone's base and L is its slant height.For the given question.
Height of cone - 12 cm Radius of cone - 5 cm π = 3. 14Put values -
Total surface area = πr (h + r)
Total surface area = 3.14 x 5 (12 + 5)
Total surface area = 3.14 x 5 x 17
Total surface area = 266.9 sq cm.
Thus, total surface area of the cone given in figure is found as 266.9 sq cm.
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PLEASE HELPPP!!!! DESPERATEEEEEEE
Pablo has a goal to lose 25lb. He has lost 16lb. What percent of his goal has been reached
A writer earns $3400 a month. Last month she spent 204 on food. what percent of her income was spent on food
Write an equation for the line parallel to the given line that contains the given point.
Line: 8y=6x+5 Point: (-8,-10)
Please answer quick!!
The linear equation parallel to 8y=6x+5 is:
y = (3/4)*x - 4
How to find the equation of the parallel line?Remember that two linear equations are parallel if and only if both lines have the same slope and different y-intercept.
Here we want to find a line parallel to:
8y = 6x + 5
Rewriting this in slope-intercept form we get:
y = (6x + 5)/8
y = (3/4)*x + 5/8
Then a parallel line to this one will be:
y = (3/4)*x + b
To find the value of b, we use the fact that this line must pass through the point (-8, -10).
-10 = (3/4)*(-8) + b
-10 = -6 + b
-10 + 6 = b
-4 = b
Then the linear equation is:
y = (3/4)*x - 4
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A satellite dish has the shape of a parabola when viewed from the side. the dish is 48 inches wide and 36 inches deep. how far is the receiver from the bottom of the dish if the receiver is placed at the focus?
If the receiver is placed at the focus, it is 4 inches from the bottom of the dish. The result is obtained by using the equation of parabola with the vertex is at (0,0).
What is the equation of a parabola?With the vertex at (0,0), the equation of a parabola can be expressed as
x² = 4ay
Where
x = half of the diameter of parabola a = the y-axis of the focus of parabolay = the depth of parabolaGiven
Diameter of the dish = 48 inchesy = 36 inchesHow far is the receiver from the bottom of the dish if it is placed at the focus?
Suppose that the vertex is at (0,0).
x = 1/2 × diameter
x = 1/2 × 48
x = 24
Now, we got two points (-24, 36) and (24,36). See the picture in the attachment!
By using the x and y value, the value of a is
x² = 4ay
24² = 4a(36)
576 = 144a
a = 576/144
a = 4 inches
Hence, the receiver is placed at 4 inches from the bottom of the dish.
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4. The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle? length = 8 in.; width = 4 in length = 6 in.; width = 2 in. length = 12 in.; width = 8 in. length = 8 in.; width = 6 in.
The width of the rectangle is 4 inches and length of the rectangle is 8 inches.
Given,
The width of the rectangle = x inches
The length of the rectangle = x + 4 inches
Perimeter of the rectangle = 24 inches
We have to find the dimensions of the rectangle;
Here,
Perimeter of rectangle = 2(length + width)
So,
24 = 2(x + 4 + x)
24/2 = 2x + 4
12 - 4 = 2x
x = 8/2
x = 4.
That is,
Width of the rectangle = 4 inches
Length of the rectangle = 4 + 4 = 8 inches.
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Write each trigonometrie ratio as a fraction and as a decimal rounded to the nearest hundredth.
Sin C
The ratio sinC is given by 4/5 and in decimal form is given by sinC = 0.8.
What is meant by Trigonometric Ratio?The trigonometric functions are real functions in mathematics that connect the angle of a right-angled triangle to the ratios of its two side lengths. They are also known as circular functions, angle functions, or goniometric functions. They are extensively employed in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more. As some of the most basic periodic functions, they are frequently employed in Fourier analysis to examine periodic events.
The sine, cosine, and tangent are the trigonometric functions that are most commonly utilized in contemporary mathematics. The cotangent, secant, and their less common reciprocals, the cosecant, are each of their reciprocals. These six trigonometric functions each have an analog in the hyperbolic functions, as well as an equivalent inverse function.
The value of sin C is given by
sinC = perpendicular/ hypotenuse
sinC = AB/AC
sinC = 4/5
In decimal form, it is written as
sinC = 0.8
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The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day?
A. −3°F
B. −1°F
C .1°F
D. 3°F
the sum of three integers is 32. the sum of the first and second integers exceeds the third by 82. the third integer is 16 less than the first. find the three integers.
The values of the three integers are:
x= -9, y=66, z= -25
What is meant by an equation?In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
In order to solve an equation with variables, you must first determine which variables' values make the equality true. Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality..
Given,
Sum of three integers= 32
x+ y+ z=32 →1
And also given that,
x+ y= z+82 →2
z+16=x →3
By solving equation 1, we get
z+16+y+z=32
2z+y=16 →4
By solving equation 2, we get
z+16+y= z+82
y=82-16
y=66
By solving equation 4, we get
2z+66=16
2z=-50
z=-25
By solving equation 3, we get
x=z+16
x=-25+16
x=-9
Therefore, the three integers are x=-9, y=66, z=-25
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Find the nth term : 6, 12, 22, 36…
The nth term of the given sequence is 6n
The given sequence is 6, 12, 22, 36,....
The formula to find the nth term is
T(n) = a + (n-1)d ... (1)
Where n is the number of terms
a is first term
d is common difference
Here
n = n. a = 6,
d = 12 - 6 = 6
Substitute the values in equation (1)
T(n) = 6 + (n-1)6
⇒ T(n) = 6 + 6n - 6
⇒ T(n) = 6n
Hence the nth term of the given sequence is 6n
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what is the anewers to -9(1/2x-3)=
The expression -9(1/2x-3) is -9/2x + 27.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
-9(1/2x-3)
Now, solving the above expression as
-9 x 1/2x= -9/2x
-9(-3)= +27
So, -9(1/2x-3) = -9/2x + 27
Hence, the expression is -9/2x + 27.
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how would you respond to a statement that says that by increasing the sample size, the amount of sampling error will be decreased?
The statement about That by increasing the sample size, the amount of sampling error will be decreased is true.
Given that,
That by increasing the sample size, the amount of sampling error will be decreased
Sampling error is inversely related to sample size. Therefore, if we expand the size of our sample, the likelihood of sampling error is reduced and the results are more trustworthy. The standard error is the term used to describe the sampling error that is most frequently utilized (SE). A measurement of the range of estimations around the "actual value" is the standard error. You get a lower return by increasing the sample size beyond what you already have because the added accuracy won't make much of a difference.
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simplify
2√3/16-√75/16+2√27/16
Answer:
3.24759526401
Step-by-step explanation:
divide that
PLEASE HELP ME!!!!!!
Answer:
7/65
Step-by-step explanation:
Im not sure how to do this, could one of you give me the answer on how to do this?
Answer:
2x+4=52
2x+19=67
2x+13=61
(I gotta be honest I can’t fully remember how to name the angles but to not set you astray I just put the equation each angle goes to)
x=24
Step-by-step explanation:
the sum of all three angles is equal to 180 degrees
So we can add all of these angles and set it equal to 180 like this
(2x+19)+(2x+4)+(2x+13)=180
Simplify by adding common terms
6x+36=180
-36. -36
6x=144
/6. /6
x=24
So now to find the angles we just fill in x with 24
2(24)+4
48+4
52
2(24)+19
48+19
67
2(24)+13
48+13
61
Hopes this helps please mark brainliest
Evaluate -7(x – 4y) when x = −4 and y = −6 a140 b52 c-28 d-140
Answer: D
Step-by-step explanation:
-7(-4-(4)(-6))
-7(-4-(4)(-6))
=140